Two trains running at 45km/h and 54km/h cross each in 12 seconds when they run in opposite direction When - Maths - Direct and Inverse Variations

Question

Two trains running at 45km/h and 54km/h cross each in 12 seconds
when they run in opposite direction When they run in the same
direction, the person in the faster train observes that he crosses
the other train in 32 seconds Find the length of the two trains

Ankita Agarwal · Accepted Answer

Dear Student,

Speed when trains moving in same direction = 45+54 = 99 km/h= 27
5 m/sSpeed= distancetime27
5 = distance12distance = 27
5×12 = 330 mSo, total length of both the trains = 330 mNow, if the trains are moving in same direction and the person is sitting in faster train, So the difference in speed = 54-45 = 9 km/h= 9×518 m/s= 2
5 m/sAccording to question, it takes 32 seconds for the faster train to cross slower train
Let the length of slower train be x m
Then, 2 5 = x32Then, x = 32×2
5x = 80 mHence, the length of slower train is 80mLength of faster train = 330-80 = 250 m

Regards

Two trains running at 45km/h and 54km/h cross each in 12 seconds when they run in opposite direction. When they run in the same direction, the person in the faster train observes that he crosses the other train in 32 seconds. Find the length of the two trains.